What is 9.27 with a repiton bar over the 27 simplified to as a fraction?
Use exponents to write the number 64 three different ways
Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1/2
Which reason justifies her solution?
A) Karla says that to solve the equation you first add 15 and then multiply by 10.
B) Karla says that to solve the equation you first multiply by 10 and then add 15.
C) Karla says that to solve the equation you first subtract 15 and then divide by 10.
D) Karla says that to solve the equation you first divide by 10 and then subtract 15.
math question down below
Last week, 4.3 inches of rain filled a rain gauge. This week, another 3.375 inches of rain filled the gauge. What was the total amount of rain that filled the rain gauge in two weeks? Enter your answer in the box.
The rain gauge collected a total of 7.675 inches of rain over the two-week period by adding last week's 4.3 inches to this week's 3.375 inches of rainfall.
This question demands basic understanding of mathematical operations and basic mathematical problem solving.
The question asks for the total amount of rain that filled a rain gauge over a two-week period. Last week, the rain gauge collected 4.3 inches of rain, and this week it collected an additional 3.375 inches. To find the total rainfall over the two weeks, we simply add these two amounts together:
4.3 inches (last week's rain) + 3.375 inches (this week's rain) = 7.675 inches
So, as per the above explaination, the rain gauge collected a total of 7.675 inches of rain over the two-week period.
Write the equations of three distinct lines that have the same y-intercept,-1.
Write 10x10x10x10x10x10 as an exponent
The required answer for 10x10x10x10x10x10 as an exponent is 10⁷.
What is an exponent?An exponent is a number or letter written above and to the right of a mathematical expression called the base.
Now the given expression is,
10 x 10 x 10 x 10 x 10 x 10
Using the property,
a^a . a^b = a^(a+b)
Thus,
10 x 10 x 10 x 10 x 10 x 10 = 10^(1+1+1+1+1+1)
⇒ 10 x 10 x 10 x 10 x 10 x 10 = 10^7
or, 10 x 10 x 10 x 10 x 10 x 10 = 10⁷
Thus, the required answer for 10 x 10 x 10 x 10 x 10 x 10 as an exponent is 10⁷.
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is 640 ft or 0.5 mi greater?
you have 33 marbles. Besides 1 group of 33 marbles, is it possible to divide the marbles into groups with the same number of marbles with no marbles left over
There are 3 times as many boys than girls. If there are 24 more boys than girls, how many students are there in total?
Please answer, , I need this by 10:00, thank you!
If g( n ) = 3 n - 2, then what is the value of g(10)?
At a pet shop there are 2100 cats and 210 dogs for a total of 2310 pets all together
There are 2100 cats and 210 dogs, totaling 2310 pets. Cats outnumber dogs 10 to 1.
To find the number of cats and dogs separately, let's set up a system of equations.
Let [tex]\( x \)[/tex] represent the number of cats and [tex]\( y \)[/tex] represent the number of dogs.
We're given two pieces of information:
1. There are 2100 cats and 210 dogs for a total of 2310 pets.
[tex]\[ x + y = 2310 \][/tex]
2. There are 2100 cats.
[tex]\[ x = 2100 \][/tex]
We can substitute the value of [tex]\( x \)[/tex] from the second equation into the first equation:
[tex]\[ 2100 + y = 2310 \][/tex]
Now, let's solve for [tex]\( y \):[/tex]
[tex]\[ y = 2310 - 2100 \][/tex]
[tex]\[ y = 210 \][/tex]
So, there are 210 dogs.
To summarize:
- Number of cats [tex](\( x \)):[/tex] 2100
- Number of dogs [tex](\( y \))[/tex]: 210
Simplify 0.4(−4.5)
help
Given the two expressions shown below:
A. square root of 3 + square root of 2
B. square root of 3 + square root of 6
Which statement best describes the two expressions?
A. both rational
B. both irrational
C. A is rational and B is irrational
D. A is irrational and B is rational
Plz help Thanks for Everything Guys
The saving-borrowing-investing cycle generally begins with consumer borrowing to fund their purchases and for seed capital. They then use this capital to invest in their future, which then allows them to bring in more money. They then are able to use income to pay off their loans and to save.
10. Solve the equation for f. Show all of your work.
4f-5=7h+g
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 11 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 4408 dollars. How much did she invest at each rate?
Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent to achieve her annual interest of $4408 by setting up and solving a system of equations based on her investment strategy.
Jolene invests her savings in two different bank accounts, one with a 4 percent interest rate and another with an 11 percent interest rate. She invests twice as much in the lower-yielding account. To determine how much she invested at each rate given her annual interest of $4408, we can set up a system of equations.
Let's denote the amount invested at 4 percent as x and the amount invested at 11 percent as y. Given that she puts twice as much in the account with 4 percent, we can say that x = 2y. Furthermore, the total interest earned from both accounts is $4408, so the equation for the total interest would be 0.04x + 0.11y = 4408.
Substitute x = 2y into the interest equation to get 0.04(2y) + 0.11y = 4408. After simplification, the equation becomes 0.19y = 4408. Dividing both sides by 0.19 gives us y = 23189.47. Since x = 2y, multiply y by 2 to find x = 46378.95.
Therefore, Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent.
Graph the line y=−1.5x. Using the graph, find:
The value of y corresponding to the value of x equal to 1; 0; 2; 3 problem.
If x = 1, y = .
If x = 0, y = 0.
If x = 2, y = .
If x = 3, y = .
A student received an 82$ on an exam if there were 50 questions on the exam which ratio would show the number of questions answered correctly
Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?
Answer:
2.0 mph
Step-by-step explanation:
roberto needs to convert the equation 3x + y = -5 into slope-intercept form. why is able to add or subtract the variable term from either side of the equation?
To different companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 per month. Company B does not charge an upfront fee, but charges $35 per month. After how many months will the two companies charge the same amount?
The number of months when the two companies charge the same amount is 5 months.
Let the number of months when the two companies charge the same amount be represented by x.
Therefore, based on the information given, the equation to solve the question will be:
75 + (20 × x) = 35 × x
75 + 20x= 35x
Collect like terms
35x - 20x = 75
15x = 75
Divide both side by 15
15x/15 = 75/15
x = 5
Therefore, the number of months when the two companies charge the same amount is 5 months.
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A student answers
90%
of the questions on a math exam correctly. If
sheshe
answers
27
questions correctly, how many questions are on the exam?
To find the total number of questions on the exam, set up a proportion 27 / x = 90% / 100%. Solve for x to find that there are 30 questions on the exam.
Explanation:To find the total number of questions on the exam, we can set up a proportion. Let's represent the total number of questions on the exam as x.
The proportion would be:
Correctly Answered Questions / Total Questions = Percentage Correct
Substituting the given values:
27 / x = 90% / 100%
Cross multiplying:
27 * 100% = x * 90%
27 = 0.9x
Dividing both sides by 0.9:
x = 27 / 0.9
x = 30
Therefore, there are 30 questions on the exam.
What is the measure of the angle 20x + 5= 24x - 1
20x +5 = 24x -1
add 1 to each side
20x+6 = 24x
subtract 20x from each side
6 = 4x
divide both sides by 4
x = 6/4 = 1.5
measure of angle: 20(1.5) +5 = 30+5 = 35 degrees
24(1.5) - 1 = 36-1 = 35 degrees
Gabriela works at a nearby electronics store. She makes a commission of 14%14, percent on everything she sells. If she sells a camera for $589.00dollar sign, 589, point, 00, how much money does Gabriela make in commission?
Susan is buying supplies for a party. If spoons only come in bags of 8 and forks only come in bags of 6, what is the least number of spoons and the least number of forks she can buy so that she has the same number of each? asap and tell my how you got the answer please
Answer:
3 bags of spoon and 4 bags of fork.
Step-by-step explanation:
If Susan will buy 3 bags of spoon then, the total spoon is 3 × 8 = 24 spoons
and, If he will buy 4 bags of fork then, the total fork is 4 × 6 = 24 forks.
Thus, for getting equal numbers of spoon and fork he has to buy a minimum of 3 bags of spoon and 4 bags of fork.
Find the value of x so that the function has the given value.
h(x)=−7x ; h(x)=63
The value of x for which the function h(x) = - 7x is h(x) = 63 is - 9.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, h(x) = -7x and h(x) = 63.
∴ We can equate these two functions as h(x) = h(x) which is,
- 7x = 63.
- x = 63/7.
- x = 9.
x = - 9.
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You start out driving from your house to an old friend’s house in a different town, which is 280 miles away. After an hour and a half, you have gone 105 miles.
a) Assuming your speed is constant, find a linear function , which gives the distance from your house (in miles) as a function of time (in hours).
b) Find and interpret D(1).
c) Solve D(t)=280
d) Solve D(t)^3>=140 and interpret the result.
e) Considering the context of this function, what is the domain?
f) What is the range?